# How do you find the vertex and intercepts for #y = 3(x - 2)^2 + 5#?

##### 1 Answer

Dec 30, 2017

Vertex:

y-intercept:

x-intercept is undefined in ℝ

#### Explanation:

First, expand

The x-vertex of a quadratic expression (

So, the x-vertex for

Plugging in the x-vertex into our original expression gives us the y-vertex, which is

So, our vertex is at

The y-intercept is given when

y-intercept:

graph{y=3(x-2)^2+5 [-11.26, 11.545, 0.32, 11.72]}

From this graph of